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Volume 1, Issue 1, 2000

Article 9

http://jipam.vu.edu.au/v1n1/007_99.html

ON HADAMARD’S INEQUALITY FOR THE CONVEX MAPPINGS DEFINED ON A CONVEX DOMAIN IN THE SPACE

BOGDAN GAVREA

UNIVERSITY BABES-BOLYAI  CLUJ-NAPOCA,
DEPARTMENT OF MATHEMATICS AND COMPUTERS,
STR. MIHAIL KOGALNICEANU 1,
 3400 CLUJ-NAPOCA, ROMANIA.
EMail: gb7581@math.ubbcluj.ro

Received 28 September, 1999; accepted 31 January 2000.
Communicated by: S.S. Dragomir

ABSTRACT.  In this paper we obtain some Hadamard type inequalities for triple integrals. The results generalize those obtained in (S.S. DRAGOMIR, On Hadamard’s inequality for the convex mappings defined on a ball in the space and applications, RGMIA (preprint), 1999).
Key words: Hadamard's inequality

2000 Mathematics Subject Classification: 26D15.
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Other papers in this issue

Volume 1, Number 1, 2000
http://jipam.vu.edu.au/v1n1/

1.

Power-monotone sequences and Fourier series with positive coefficients

L. Leindler

 2.

On Hadamard's Inequality on a Disk

S.S. Dragomir
3.

A Steffensen Type Inequality

Hillel Gauchman

 4.

Generalized Abstracted Mean Values

Feng Qi
5.

An Inequality for Linear Positive Functionals

Bogdan Gavrea and Ioan Gavrea

 6.

Inequalities for Planar Convex Sets

Paul R. Scott and Poh Wah Awyong
7.

Reverse Weighted Lp - Norm Inequalities in Convolutions

Saburou Saitoh, Vu Kim Tuan and Masahiro Yamamoto

 8.

Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems

Jeffrey Ehme and Johnny Henderson
9.

On Hadamard's Inequality for the Convex Mappings Defined on a Convex Domain in the Space

Bogdan Gavrea

 10.

Weighted Modular Inequalities for Hardy-Type Operators on Monotone Functions

Hans P. Heinig and Qinsheng Lai
 

Editors

R.P. Agarwal
G. Anastassiou
T. Ando
H. Araki
A.G. Babenko
D. Bainov
N.S. Barnett
H. Bor
J. Borwein
P.S. Bullen
P. Cerone
S.H. Cheng
L. Debnath
S.S. Dragomir
N. Elezovic
A.M. Fink
A. Fiorenza
T. Furuta
L. Gajek
H. Gauchman
C. Giordano
F. Hansen
D. Hinton
A. Laforgia
L. Leindler
C.-K. Li
L. Losonczi 
A. Lupas
R. Mathias
T. Mills
G.V. Milovanovic
R.N. Mohapatra
B. Mond
M.Z. Nashed
C.P. Niculescu
I. Olkin
B. Opic
B. Pachpatte
Z. Pales
C.E.M. Pearce
J. Pecaric
L.-E. Persson
L. Pick
I. Pressman
S. Puntanen
F. Qi
A.G. Ramm
T.M. Rassias
A. Rubinov
S. Saitoh
J. Sandor
S.P. Singh
A. Sofo
H.M. Srivastava
K.B. Stolarsky
G.P.H. Styan
L. Toth
R. Verma
F. Zhang

© 2000 School of Communications and Informatics, Victoria University of Technology. All rights reserved.
JIPAM is published by the School of Communications and Informatics which is part of the Faculty of Engineering and Science, located in Melbourne, Australia. All correspondence should be directed to the editorial office.

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